#include "GMath.h"
#include "CArrayBuffer.h"
#include "CDataView.h"
#include "CFloat32Array.h"

int main() {

	GVector3 v1(SQRT(2)/2, SQRT(2) / 2, 0);
	GVector3 v2(-1, 1, -1);
	GVector3 v3(0, -2, -2);

	//斯密特正交化
	GVector3 w1 = v1;
	GVector3 w2 = v2 - proj(v2, w1);  //cout << w2 << endl;
	GVector3 w3 = v3 - proj(v3, w1) - proj(v3, w2); //cout << w3 << endl;

	//normalize
	w1 = w1 / norm(w1);
	w2 = w2 / norm(w2);
	w3 = w3 / norm(w3);

	GMatrix M1(3, 3);
	M1.SetRowVec(0, w1);
	M1.SetRowVec(1, w2);
	M1.SetRowVec(2, w3);
	cout << M1 << endl;

	GMatrix M2 = Transpose(M1);
	cout << M2 << endl;

	cout << M1 * M2 << endl;
  	return 0;
}